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In this paper, we investigate the Sombor index of the total graph and unit graph of Zₙ which is denoted by T_ (Zₙ) and G (Zₙ) respectively for n \2k, p^{, pq, p²q\} where p and q are distinct odd prime numbers such that p < q. Moreover, we compute the Sombor index of any finite local ring.
Pathak et al. (Sun,) studied this question.
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